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Bertram L, Weber PM, Kirrander A. Mapping the photochemistry of cyclopentadiene: from theory to ultrafast X-ray scattering. Faraday Discuss 2023; 244:269-293. [PMID: 37132432 DOI: 10.1039/d2fd00176d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/12/2023]
Abstract
The photoinduced ring-conversion reaction when cyclopentadiene (CP) is excited at 5.10 eV is simulated using surface-hopping semiclassical trajectories with XMS(3)-CASPT2(4,4)/cc-pVDZ electronic structure theory. In addition, PBE0/def2-SV(P) is employed for ground state propagation of the trajectories. The dynamics is propagated for 10 ps, mapping both the nonadiabatic short-time dynamics (<300 fs) and the increasingly statistical dynamics on the electronic ground state. The short-time dynamics yields a mixture of hot CP and bicyclo[2.1.0]pentene (BP), with the two products reached via different regions of the same conical intersection seam. On the ground state, we observe slow conversion from BP to CP which is modelled by RRKM theory with a transition state determined using PBE0/def2-TZVP. The CP products are furthermore associated with ground state hydrogen shifts and some H-atom dissociation. Finally, the prospects for detailed experimental mapping using novel ultrafast X-ray scattering experiments are discussed and observables for such experiments are predicted. In particular, we assess the possibility of retrieving electronic states and their populations alongside the structural dynamics.
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Affiliation(s)
- Lauren Bertram
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, South Parks Road, Oxford, OX1 3QZ, UK.
| | - Peter M Weber
- Department of Chemistry, Brown University, Providence, Rhode Island 02912, USA
| | - Adam Kirrander
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, South Parks Road, Oxford, OX1 3QZ, UK.
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2
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Otis L, Craig I, Neuscamman E. A hybrid approach to excited-state-specific variational Monte Carlo and doubly excited states. J Chem Phys 2020; 153:234105. [PMID: 33353344 DOI: 10.1063/5.0024572] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
Abstract
We extend our hybrid linear-method/accelerated-descent variational Monte Carlo optimization approach to excited states and investigate its efficacy in double excitations. In addition to showing a superior statistical efficiency when compared to the linear method, our tests on small molecules show good energetic agreement with benchmark methods. We also demonstrate the ability to treat double excitations in systems that are too large for a full treatment by using selected configuration interaction methods via an application to 4-aminobenzonitrile. Finally, we investigate the stability of state-specific variance optimization against collapse to other states' variance minima and find that symmetry, Ansatz quality, and sample size all have roles to play in achieving stability.
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Affiliation(s)
- Leon Otis
- Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA
| | - Isabel Craig
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, USA
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, Berkeley, California 94720, USA
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Loos PF, Lipparini F, Boggio-Pasqua M, Scemama A, Jacquemin D. A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Medium Sized Molecules. J Chem Theory Comput 2020; 16:1711-1741. [PMID: 31986042 DOI: 10.1021/acs.jctc.9b01216] [Citation(s) in RCA: 107] [Impact Index Per Article: 26.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
Following our previous work focusing on compounds containing up to 3 non-hydrogen atoms [J. Chem. Theory Comput. 2018, 14, 4360-4379], we present here highly accurate vertical transition energies obtained for 27 molecules encompassing 4, 5, and 6 non-hydrogen atoms: acetone, acrolein, benzene, butadiene, cyanoacetylene, cyanoformaldehyde, cyanogen, cyclopentadiene, cyclopropenone, cyclopropenethione, diacetylene, furan, glyoxal, imidazole, isobutene, methylenecyclopropene, propynal, pyrazine, pyridazine, pyridine, pyrimidine, pyrrole, tetrazine, thioacetone, thiophene, thiopropynal, and triazine. To obtain these energies, we use equation-of-motion/linear-response coupled cluster theory up to the highest technically possible excitation order for these systems (CC3, EOM-CCSDT, and EOM-CCSDTQ) and selected configuration interaction (SCI) calculations (with tens of millions of determinants in the reference space), as well as the multiconfigurational n-electron valence state perturbation theory (NEVPT2) method. All these approaches are applied in combination with diffuse-containing atomic basis sets. For all transitions, we report at least CC3/aug-cc-pVQZ vertical excitation energies as well as CC3/aug-cc-pVTZ oscillator strengths for each dipole-allowed transition. We show that CC3 almost systematically delivers transition energies in agreement with higher-level methods with a typical deviation of ±0.04 eV, except for transitions with a dominant double excitation character where the error is much larger. The present contribution gathers a large, diverse, and accurate set of more than 200 highly accurate transition energies for states of various natures (valence, Rydberg, singlet, triplet, n → π*, π → π*, ...). We use this series of theoretical best estimates to benchmark a series of popular methods for excited state calculations: CIS(D), ADC(2), CC2, STEOM-CCSD, EOM-CCSD, CCSDR(3), CCSDT-3, CC3, and NEVPT2. The results of these benchmarks are compared to the available literature data.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, CNRS et Université Toulouse III - Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France
| | - Filippo Lipparini
- Dipartimento di Chimica e Chimica Industriale, University of Pisa, Via Moruzzi 3, 56124 Pisa, Italy
| | - Martial Boggio-Pasqua
- Laboratoire de Chimie et Physique Quantiques, CNRS et Université Toulouse III - Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques, CNRS et Université Toulouse III - Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France
| | - Denis Jacquemin
- CEISAM Lab, UMR 6230, Université de Nantes, CNRS, F-44000 Nantes, France
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Scaling exchange and correlation in the on-top density functional of multiconfiguration pair-density functional theory: effect on electronic excitation energies and bond energies. Theor Chem Acc 2020. [DOI: 10.1007/s00214-019-2539-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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5
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Li Manni G, Carlson RK, Luo S, Ma D, Olsen J, Truhlar DG, Gagliardi L. Multiconfiguration Pair-Density Functional Theory. J Chem Theory Comput 2015; 10:3669-80. [PMID: 26588512 DOI: 10.1021/ct500483t] [Citation(s) in RCA: 313] [Impact Index Per Article: 34.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present a new theoretical framework, called Multiconfiguration Pair-Density Functional Theory (MC-PDFT), which combines multiconfigurational wave functions with a generalization of density functional theory (DFT). A multiconfigurational self-consistent-field (MCSCF) wave function with correct spin and space symmetry is used to compute the total electronic density, its gradient, the on-top pair density, and the kinetic and Coulomb contributions to the total electronic energy. We then use a functional of the total density, its gradient, and the on-top pair density to calculate the remaining part of the energy, which we call the on-top-density-functional energy in contrast to the exchange-correlation energy of Kohn-Sham DFT. Because the on-top pair density is an element of the two-particle density matrix, this goes beyond the Hohenberg-Kohn theorem that refers only to the one-particle density. To illustrate the theory, we obtain first approximations to the required new type of density functionals by translating conventional density functionals of the spin densities using a simple prescription, and we perform post-SCF density functional calculations using the total density, density gradient, and on-top pair density from the MCSCF calculations. Double counting of dynamic correlation or exchange does not occur because the MCSCF energy is not used. The theory is illustrated by applications to the bond energies and potential energy curves of H2, N2, F2, CaO, Cr2, and NiCl and the electronic excitation energies of Be, C, N, N(+), O, O(+), Sc(+), Mn, Co, Mo, Ru, N2, HCHO, C4H6, c-C5H6, and pyrazine. The method presented has a computational cost and scaling similar to MCSCF, but a quantitative accuracy, even with the present first approximations to the new types of density functionals, that is comparable to much more expensive multireference perturbation theory methods.
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Affiliation(s)
- Giovanni Li Manni
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Rebecca K Carlson
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Sijie Luo
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Dongxia Ma
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Jeppe Olsen
- Department of Chemistry, Aarhus University , Langelandsgade 140, DK-8000, Aarhus C, Denmark
| | - Donald G Truhlar
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Laura Gagliardi
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota , Minneapolis, Minnesota 55455, United States
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Leang SS, Zahariev F, Gordon MS. Benchmarking the performance of time-dependent density functional methods. J Chem Phys 2012; 136:104101. [DOI: 10.1063/1.3689445] [Citation(s) in RCA: 262] [Impact Index Per Article: 21.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
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Kuhlman TS, Glover WJ, Mori T, Møller KB, Martínez TJ. Between ethylene and polyenes - the non-adiabatic dynamics of cis-dienes. Faraday Discuss 2012; 157:193-212; discussion 243-84. [DOI: 10.1039/c2fd20055d] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
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TOKURA SEIKEN, TSUNEDA TAKAO, HIRAO KIMIHIKO. LONG-RANGE-CORRECTED TIME-DEPENDENT DENSITY FUNCTIONAL STUDY ON ELECTRONIC SPECTRA OF FIVE-MEMBERED RING COMPOUNDS AND FREE-BASE PORPHYRIN. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633606002684] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Long-range-corrected time-dependent density functional theory (LC-TDDFT) was applied to five-membered ring compounds (cyclopentadiene, pyrrole, and furan molecules) and free-base porphyrin. The vertical π-π* and Rydberg excitation energies and corresponding oscillator strengths were calculated by LC-TDDFT. The LC scheme obviously improved the Rydberg excitation energies and oscillator strengths of these systems, which have been fairly underestimated by TDDFT with conventional pure and hybrid B3LYP functionals. On the whole, LC-TDDFT results were very close to the results of the ab initio symmetry-adapted cluster configuration interaction (SAC-CI) method for most excitations. However, LC-TDDFT is poor in describing doubly excited states such as the 1 1A1 state of five-membered ring compounds.
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Affiliation(s)
- SEIKEN TOKURA
- Department of Applied Chemistry, School of Engineering, University of Tokyo, Tokyo 113-8656, Japan
| | - TAKAO TSUNEDA
- Department of Quantum Engineering and Systems Science, School of Engineering, University of Tokyo, Tokyo 113-8656, Japan
| | - KIMIHIKO HIRAO
- Department of Applied Chemistry, School of Engineering, University of Tokyo, Tokyo 113-8656, Japan
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9
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Shen J, Li S. Comparison of some multireference electronic structure methods in illustrative applications. Sci China Chem 2010. [DOI: 10.1007/s11426-010-0034-y] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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10
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Shen J, Li S. Block correlated coupled cluster method with the complete active-space self-consistent-field reference function: Applications for low-lying electronic excited states. J Chem Phys 2009; 131:174101. [DOI: 10.1063/1.3256297] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
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11
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Chakraborty D, Lagowski J. Geometry relaxation in singlet excited states of oligomers containing cyclopentadiene and fulvene and their cyano derivatives. POLYMER 2004. [DOI: 10.1016/j.polymer.2003.04.004] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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12
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Kosugi K, Inokuchi Y, Nishi N. Charge transfer interaction in the acetic acid–benzene cation complex. J Chem Phys 2001. [DOI: 10.1063/1.1349082] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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13
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Wan J, Ehara M, Hada M, Nakatsuji H. Electronic excitation and ionization spectra of cyclopentadiene: Revisit by the symmetry-adapted cluster–configuration interaction method. J Chem Phys 2000. [DOI: 10.1063/1.1290004] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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14
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Asmis KR, Allan M, Schafer O, Fülscher M. Electron-Energy-Loss Spectroscopy and Theoretical Study of Triplet and Singlet Excited States of Fulvene. J Phys Chem A 1997. [DOI: 10.1021/jp963129x] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Knut R. Asmis
- Institut de Chimie Physique, Université de Fribourg, Pérolles, CH-1700 Fribourg, Switzerland
| | - Michael Allan
- Institut de Chimie Physique, Université de Fribourg, Pérolles, CH-1700 Fribourg, Switzerland
| | - Olivier Schafer
- Institut de Chimie Physique, Université de Fribourg, Pérolles, CH-1700 Fribourg, Switzerland
| | - Markus Fülscher
- Department of Theoretical Chemistry, Chemical Centre, P.O.B. 124, S-221 00 Lund, Sweden
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15
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Watts JD, Gwaltney SR, Bartlett RJ. Coupled‐cluster calculations of the excitation energies of ethylene, butadiene, and cyclopentadiene. J Chem Phys 1996. [DOI: 10.1063/1.471988] [Citation(s) in RCA: 136] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Nakano H, Tsuneda T, Hashimoto T, Hirao K. Theoretical study of the excitation spectra of five‐membered ring compounds: Cyclopentadiene, furan, and pyrrole. J Chem Phys 1996. [DOI: 10.1063/1.470926] [Citation(s) in RCA: 76] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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17
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Swiderek P, Michaud M, Sanche L. Electron‐energy‐loss spectroscopy of condensed butadiene and cyclopentadiene: Vibrationally resolved excitation of the low‐lying triplet states. J Chem Phys 1993. [DOI: 10.1063/1.464498] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Galasso V. Ab initio calculations on the one- and two-photon electronic transitions of cyclopentadiene, spirononatetraene, 1,4-cyclo-hexadiene, Dewar benzene, norbornadiene, and barrelene. Chem Phys 1991. [DOI: 10.1016/0301-0104(91)90002-b] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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19
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Share P, Kompa K. An investigation of the excited state dynamics of cyclohexadiene in a supersonic jet. Chem Phys 1989. [DOI: 10.1016/0301-0104(89)87173-3] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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20
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Share P, Kompa K, Peyerimhoff S, Van Hemert M. An MRD CI investigation of the photochemical isomerization of cyclohexadiene to hexatriene. Chem Phys 1988. [DOI: 10.1016/0301-0104(88)87227-6] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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21
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Kitao O, Nakatsuji H. Cluster expansion of the wavefunction: Valence and Rydberg excitations of trans- and cis-butadiene. Chem Phys Lett 1988. [DOI: 10.1016/0009-2614(88)87060-x] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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22
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Sandorfy C, Lussier L, Richer G, Goursot A, Pénigault E, Weber J. The far-ultraviolet spectra of transition metal complexes. J Mol Struct 1986. [DOI: 10.1016/0022-2860(86)80309-x] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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23
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McDiarmid R, Sabljić A, Doering JP. Valence transitions in 1,3‐cyclopentadiene, 1,3‐cyclohexadiene, and 1,3‐cycloheptadiene. J Chem Phys 1985. [DOI: 10.1063/1.449304] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Richer G, Sandorfy C. The far-ultraviolet absorption spectra of ferrocene, cobaltocene, and nickelocene. ACTA ACUST UNITED AC 1985. [DOI: 10.1016/0166-1280(85)80174-3] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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25
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Nakatsuji H, Kitao O, Yonezawa T. Cluster expansion of the wave function. Valence and Rydberg excitations and ionizations of pyrrole, furan, and cyclopentadiene. J Chem Phys 1985. [DOI: 10.1063/1.449857] [Citation(s) in RCA: 107] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Sanche L, Bader G, Caron L. Transmission of 0–15 eV monoenergetic electrons through aliphatic and alicyclic hydrocarbon films. J Chem Phys 1982. [DOI: 10.1063/1.443522] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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27
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Sanche L. Transmission of 0–15 eV monoenergetic electrons through thin-film molecular solids. J Chem Phys 1979. [DOI: 10.1063/1.438300] [Citation(s) in RCA: 188] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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